# zbMATH — the first resource for mathematics

Relation between differential polynomials of certain complex linear differential equations and meromorphic functions of finite order. (English) Zbl 1171.34060
The authors study a special second order linear differential equation with coefficients of exponential type and investigate the growth of the exponent of convergence of the distinct zeros of a differential polynomial of the meromorphic solution $$f$$ of the form $$d_2f''+ d_1f' + d_0f - \varphi$$, where $$f$$ has a finite exponent of convergence of poles, $$\varphi$$ is a meromorphic function of finite order and $$d_j$$ ($$j=0, 1, 2$$) are polynomials.
##### MSC:
 34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
Full Text: